2003
DOI: 10.1142/s0219749903000292
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Quantum Information Processing by Nmr: Preparation of Pseudopure States and Implementation of Unitary Operations in a Single-Qutrit System

Abstract: Theoretical Quantum Information Processing (QIP) has matured from the use of qubits to the use of qudits (systems having states > 2). Where as most of the experimental implementations have been performed using qubits, little experimental work has been carried out using qudits as yet.In this paper we demonstrate experimental realization of a qutrit system by nuclear magnetic resonance (NMR), utilizing deuterium (spin-1) nuclei partially oriented in liquid crystalline phase.Preparation of pseudopure states and i… Show more

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Cited by 49 publications
(46 citation statements)
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“…A qutrit has three possible pseudopure states : | + 1 , |0 , | − 1 , which are obtained from the thermal equilibrium state using transitionselective pulses followed by a gradient pulse that dephases the coherences [32,37]. NMR pulse sequences for the preparation of pseudo-pure states | − 1 , |0 , | + 1 are shown in Fig.…”
Section: B Initialization and Tomography Of A Single Qutritmentioning
confidence: 99%
See 1 more Smart Citation
“…A qutrit has three possible pseudopure states : | + 1 , |0 , | − 1 , which are obtained from the thermal equilibrium state using transitionselective pulses followed by a gradient pulse that dephases the coherences [32,37]. NMR pulse sequences for the preparation of pseudo-pure states | − 1 , |0 , | + 1 are shown in Fig.…”
Section: B Initialization and Tomography Of A Single Qutritmentioning
confidence: 99%
“…A qutrit is the smallest system that exhibits inherent quantum features such as contextuality [28][29][30], which has been conjectured to be a resource for quantum computing [31][32][33][34][35]. NMR qudit quantum computing can be performed by using nuclei with spin s > 1 2 or can be modeled by two or * shrutidogra@iisermohali.ac.in † kavita@iisermohali.ac.in ‡ arvind@iisermohali.ac.in more coupled spin-1 2 nuclei [36,37]. In this work we use the Majorana sphere description of a single qutrit, where states of a qutrit are represented by a pair of points on a unit sphere, to provide insights into the qutrit state space.…”
Section: Introductionmentioning
confidence: 99%
“…Qubits can be represented by two states of any quantum system such as magnetic quantum numbers of spin-1/2 [2]. For spin-1, magnetic quantum levels are called as qutrits [3] [4] [5]. Then, three-qutrit states can be obtained from ISK (I = 1, S = 1, K = 1) spin system.…”
Section: Introductionmentioning
confidence: 99%
“…The matter is that the most significant results of quantum calculations are currently obtained by the methods of nuclear magnetic resonance (NMR) [ on quadrupole deuterium nucleus with spin I = 1 have already been realized [3]. Alongside with the method suggested in [2], the method based on weak radio-frequency pulses selective in dipole-dipole interaction between nuclei is examined here.…”
Section: Introductionmentioning
confidence: 99%